Can the particle mass spectrum be explained within the Standard Model?

TL;DR

This paper explores a modified perturbative QCD framework that suggests the quark condensate can dynamically generate particle masses and proposes a novel mechanism where the Higgs boson could be a meson related to the top quark condensate.

Contribution

It introduces a new expansion in QCD with a single interaction vertex that could generate the Standard Model's mass and CKM matrices through fermion condensates.

Findings

Quark condensate is dynamically generated in the model.

Vacuum energy is unbounded from below in the approximation used.

Higgs particle may be represented as a meson near twice the top quark mass.

Abstract

A modified version of PQCD considered in previous works is investigated here in the case of retaining only the quark condensate. The Green functions generating functional is expressed in a form in which Dirac's delta functions are now absent from the free propagators. The new expansion implements the dimensional transmutation effect through a single interaction vertex in addition to the standard ones in mass less QCD. The new vertex suggests a way for constructing an alternative to the SM in which the mass and CKM matrices could be generated by the instability of masslesss QCD under the production of the top quark and other fermions condensates, in a kind of generalized Nambu Jona Lasinio mechanism. The results of a two loop evaluation of the vacuum energy indicate that the quark condensate is dynamically generated. However, the energy as a function of the condensate parameter is again unbounded from below in this approximation. Assuming the existence of a minimum of the vacuum energy at the experimental value of the top quark mass mq=173 GeV, we evaluate the two particle propagator in the quark anti-quark channel in zero order in the coupling and a ladder approximation in the condensate vertex. Adopting the notion from the former top quark models, in which the Higgs field corresponds to the quark condensate, the results suggest that the Higgs particle could be represented by a meson which might appear at energies around two times the top quark mass.